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Finding the Fourth Proportional to 8,251.85, 12,381.86 and 3,869.64

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Solution

The fourth proportional to 8,251.85, 12,381.86 and 3,869.64 is: 5,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.85 : 12,381.86 = 3,869.64 : x
  2. Step 2: Convert to fraction form
    8,251.85/12,381.86 = 3,869.64/x
  3. Step 3: Cross multiply
    8,251.85x = 12,381.86 × 3,869.64
  4. Step 4: Simplify right side
    8,251.85x = 47,913,321.38
  5. Step 5: Solve for x
    x = 47,913,321.38/8,251.85
  6. Step 6: Final answer
    x = 5,806.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.